Question

noah enlarged a photograph by a scale factor of six. the area of the enlarged photograph is how many times as large as the area of the original? a 6 b 36 c 12 d \\(\frac{1}{6}\\)

Explanation:

Step1: Recall the scale factor for area

When a figure is scaled by a scale factor \( k \), the area of the scaled figure is \( k^2 \) times the area of the original figure. Here, the scale factor \( k = 6 \).

Step2: Calculate the area scale factor

We need to find \( k^2 \) where \( k = 6 \). So, \( 6^2=6\times6 = 36 \).

Answer:

B. 36